102223000320 has 288 divisors, whose sum is σ = 380733427200. Its totient is φ = 23364956160.

The previous prime is 102223000241. The next prime is 102223000361. The reversal of 102223000320 is 23000322201.

102223000320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102223000320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1278315 + ... + 1355925.

Almost surely, 2^102223000320 is an apocalyptic number.

102223000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102223000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190366713600).

102223000320 is an abundant number, since it is smaller than the sum of its proper divisors (278510426880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102223000320 is an frugal number, since it uses more digits than its factorization.

102223000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77656 (or 77628 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 102223000320 its reverse (23000322201), we get a palindrome (125223322521).

The spelling of 102223000320 in words is "one hundred two billion, two hundred twenty-three million, three hundred twenty", and thus it is an aban number.